Given the central angle (say ∡AOB), ∅ = [tex] \frac{5\pi}{6} [/tex]
Arc length by the same central angle, s = 35π cm.
We know the formula for Arc Length is given by :-
Arc Length = Central angle × Radius
s = ∅ · r
[tex] 35\pi =(\frac{5\pi}{6}) \;r\\\\ r = \frac{35\pi}{\frac{5\pi}{6}} = (\frac{35\pi}{1}) (\frac{6}{5\pi}) =(7)(6)=42\;cm [/tex]
So, radius of circle is 42 cm.
